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PREDICTIONS – 10 Years Later - Santa Fe Institute

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<strong>10</strong>. IF I CAN, I WANT<br />

REACHING THE CEILING IN A DISCRETE SYSTEM MAY LEAD TO CHAOS<br />

STEADY STATE<br />

OSCILLATIONS<br />

CHAOS<br />

FIGURE <strong>10</strong>.1 Three different solutions to the discrete form of the naturalgrowth<br />

equation. The initial rise corresponds to the familiar S-curve of the continuous<br />

case. What ensues after reaching the ceiling may be stable, oscillatory,<br />

or chaotic. ∗<br />

∗ Adapted from a graph by H. O. Peitgen and P. H. Richter in The Beauty of Fractals<br />

(Berlin and Heidelberg: Springer–Verlag, 1986). Reprinted by permission of the publisher.<br />

236

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